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During the heating period, the supplied heating quantity provided by the heat pump can be expressed by the area surrounded by the heat pump load curve, as shown in Figure 5. Based on the above discussion, the relationship between the supplied heating quantity provided by the heat pump and the design power of the heat pump is obtained, as shown in Figure 6. It is worth noting that, during the whole heating period, as the design power of the heat pump increases the heating Energies 2020, 13, 6256 9 of 19 supply of the heat pump increases first and then tends to be constant. Figure 6. The supplied heating quantity of the heat pump with different design power during the Figure 6. The supplied heating quantity of the heat pump with different design power during the heating period per year. heating period per year. When the COP of the heat pump remains constant, the income of the heat pump depends on thewWashteenhetahteqCuOanPtoitfythrechoevaetrepdumbyptrheemhaeiantspcuomnspta.nFto,rthdeiffinecroemntedoefstihgnehpeoawtperusmopftdhepheenadtspounmthpe, twheasotpeehreaatitoqnumanotditeyorfecthoevehreadtbpyumthpe haenadttphuemrepc.oFvoerreddiffeexrheanutsdtehsiegant qpuoawnetritsyovfathrye.hMeaotrepouvmerp,,tthhee inopiteiarlatiinovnesmtmodenetoofftthehweasttepuhmeaptraencdovtehreyrseycsotvemeredepeexnhdaussotnhtehaethqeuatnptiutymvpapryo.wMero.rTeohvuesr,,tthhee appropriate heat pump design power should be selected to achieve the best economy of the system. 3. Economic Analysis Model of the Waste Heat Recovery System In the waste heat recovery system, the power of the heat pump is an optional parameter which will affect the economy of the system. In this section, an economic analysis model of the system is proposed to calculate the economy of the system and obtain an optional power of the heat pump based on the constant electricity power. The cost of the waste heat recovery system mainly consists of the operating cost and the initial investment. The design power of the heat pump determines the initial investment which can be calculated by Equation (12). In China, the energy reconstruction project usually adopts the energy performance contracting style, and most of the initial investment, such as 80%, is from the bank. The bank loan can be expressed by Equation (13). Ii = Pd × rp, (12) Ibl = Ii × x, (13) where rp is the unit price of the recovery system using the absorption heat pump; x represents the lending ratio of the initial investment from the bank. The operating cost of the system includes the cost of the principal, the interest, the electricity consumption, the salary of the workers, and other costs. Adopting the constant payment mortgage method, the principal and the interest for each year can be calculated by Equation (14). The cost of electricity consumption and the salary of the workers can be calculated by Equations (15) and (16), respectively. i i 12n Pd ×rp ×x× 12 ×(1+ 12) Ipi =12× , (14) (1+ i )12n−1 12 Ie = Pd × re, Is =m×rs, (15) (16)PDF Image | Waste Heat Recovery Turbine Exhaust Steam Heat Pump
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